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Quadrilaterals & Parallelograms
Analytic Geometry Unit 1: Similarity, Congruence & Proofs
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Parallelogram 2 pairs of opposite sides are parallel
2 pairs of opposite angles are ≅ Consecutive angles are supplementary Diagonals bisect each other ∠A+∠B=180 ∠C+∠B=180 ∠A+∠D=180 ∠C+∠D=180
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Rectangle AC≅ DB All properties of a Parallelogram plus
Diagonals are ≅ 4 ≅ right angles AC≅ DB
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Rhombus All properties of a Parallelogram plus
Diagonals are perpendicular (they make 90 degrees) Diagonals bisect opposite angles 4 ≅ sides
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Square All properties of a Parallelogram plus All properties of a Rectangle plus All properties of a Rhombus AC≅ DB
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Trapezoid Exactly 1 pair of parallel sides
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Isosceles Trapezoid AC≅ BD Exactly 1 pair of parallel sides
Base angles are ≅ Opposite angles are supplementary 1 pair of ≅ legs Diagonals are ≅ AC≅ BD ∠A+∠B=180 ∠C+∠B=180 ∠A+∠D=180 ∠C+∠D=180
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Kite 2 pairs of consecutive sides are ≅
1 pair of opposite angles are ≅ Diagonals are perpendicular
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Helpful formulas Slope Formula: Given the two points (x1, y1) and (x2, y2) Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:
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